A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 78 Ω, R3 = 108 Ω and R4 = 123 Ω. The inductance is L = 222 mH and the battery voltage is V = 24 V. What is IL(∞), the magnitude of the current through the inductor after the switch has been closed for a very long time. https://www.smartphysics.com/Content/smartPhysics/Media/Images/EM/18/h18_RL_limits.png
What is I2(0), the magnitude of the current through the resistor R2 just after the switch is closed?
Part A. After a long time the current thru the inductor would be approx 0.12 Amp (considering the DC resistance of the coil as 0 Ohms)
The coil effectively shunts the current around the two resistors in parallel and the current is limited by the 78 and 123 Ohm resistors in series.
At the initial opening of the switch the current thru R2 would be 24/387 or 0.062 Amps
Join our real-time social learning platform and learn together with your friends!